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Finding the Third Proportional to 172,828.69 and 359,452.69

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Solution

The third proportional to 172,828.69 and 359,452.69 is: 747,597.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,828.69 : 359,452.69 = 359,452.69 : x
  2. Step 2: Convert to fraction form
    172,828.69/359,452.69 = 359,452.69/x
  3. Step 3: Cross multiply
    172,828.69x = 359,452.69 × 359,452.69
  4. Step 4: Simplify right side
    172,828.69x = 129,206,234,550.97
  5. Step 5: Solve for x
    x = 129,206,234,550.97/172,828.69
  6. Step 6: Final answer
    x = 747,597.15

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.